Answer:
10/9
Step-by-step explanation:
average rate of change in 0≤x≤9
=(3-(-7))/(9-0)=10/9
Answer:
The solution is 10/9
Step-by-step explanation:
Step 1: identify the right approach:
Given a function g(x) over a period of time, to find the average rate of change of g(x) over this period of time, we divide the change in g(x) by the change in x.
Step 2: Perform the calculation:
As shown in picture,
x = 0 => g(x) = -7
x = 9 => g(x) = 3
=> The change of x over interval [0, 9] is:
x_change = 9 - 0 = 9
=> The change of g(x) over interval [0, 9] is:
g(x)_change = 3 - (-7) = 10
=> The average rate (r) of change of g(x) over interval [0, 9] is:
r = g(x)_change/x_change = 10/9
Hop this helps!
:)
plz can someone help me with this plzz
Answer:
p: 42
a: 82.16
Step-by-step explanation:
For perimeter, add all the sides together
For area, multiple the longer side by the shorter side
Help me, please with question A and B I have not been taught this topic yet
Answer:
The triangle's area is 12 square units.
Step-by-step explanation:
We start by drawing the requested points A = (-4, -3) and B = (0, -3), which we notice are located horizontally on the line of y = -3 and separated 4 units from each other (see red dots in the attached image).
Then we look for a point over the line y = 3 that is equidistant from points A and B (so we place it at the point (-2, 3)) and name it "C".
Now, the triangle ABC defined by the three points has base = 4 units, and height = 6 units (from the line y = -3 to the line y = 3).
Then recall that the area of a triangle is defined by the product of the triangle's base times its height, divided by two:
[tex]Area=\frac{base\,*\,height}{2} \\Area=\frac{4\,*\,6}{2} \\Area = 12[/tex]
So the triangle's area is 12 square units.
identify the expression as a numerical expression or a variable expression.For variable expression, name the variable 1×12
Answer:
o7 fy hk hpxi oyli ifuod pir8
People pay to visit a stately home [tickets age 16 and over : £18.60 ..under 16:£12.80] 155 people pay and 49 of these people are under 16. How much money is collected
Answer: £2598.80
Step-by-step explanation:
Let those under 16 be x
Those over 16 be y
49 + y = 155
y = 155-49
y = 106 = over 16
for over 16, y * 18.60
= 106 * 18.60 = 1971.60
For under 16, x * 12.80
= 49 * 12.80 = 627.20
How do I complete this formal check?
Answer:
Step-by-step explanation:
The first two steps are for the purpose of eliminating fractions. Doing so results in 4(2x - 5) = 9(x - 2), which is to be solved for x.
Perform the indicated multiplication, obtaining:
8x - 20 = 9x - 18.
Then combine like terms: -2 = x, or
x = -2.
To complete the formal check, substitute -2 for x in the first equation. This results in:
(1/3)(-4 - 5) = (3/4)(-2 -2), or
-3 = -3
... which is obviously true.
What is the slope-intercept for Y-5 =-3x+2
Answer:
-5/3
Step-by-step explanation:
ASAP! The graph of an exponential model in the form y = a ⋅ bx passes through the points (1, 10) and (2, 20). Which point is also located on the graph? a) (0,0) b) (0,5) c) (3,30) d) (2,20)
Answer:
b
Step-by-step explanation:
Because y increases by a factor of 2 every time x goes up by 1, the opposite happens when x decreases by 1. This means that when x = 0, y = 5 so the answer is b.
Applying the points and finding the equation, it is found that point (0,5) is also on the graph, option b.
The exponential equation has the following format:
[tex]y = ab^x[/tex]
Point (1,10) means that when [tex]x = 1, y = 10[/tex], thus:
[tex]ab = 10[/tex]
Point (2,20) means that when [tex]x = 2, y = 20[/tex], thus:
[tex]ab^2 = 20[/tex]
From the first equation:
[tex]a = \frac{10}{b}[/tex]
Replacing on the second:
[tex]\frac{10}{b}b^2 = 20[/tex]
[tex]10b = 20[/tex]
[tex]b = \frac{20}{10}[/tex]
[tex]b = 2[/tex]
So
[tex]a = \frac{10}{b} = \frac{10}{2} = 5[/tex]
Then, the equation is:
[tex]y = 5(2)^x[/tex]
When [tex]x = 0, y = 5(2)^0 = 5[/tex], thus point (0,5) is also on the graph, which means that option b is correct.
A similar problem is given at https://brainly.com/question/14773454
Please answer. will mark brainliest.
Answer:
See explanation
Step-by-step explanation:
Line A
gradient = 4
x-intercept = -1
y-intercept = 4
Line B
gradient = -3
x-intercept = -1
y-intercept = -3
y + 8x = - 72
x-intercept = -9
y-intercept = -72
13 is 23 less than 15 times a number
Answer:
13 = 15(x) - 23
x = 12/5 or 2 2/5
please help i don’t understand what so ever
Answer:
x=6
Step-by-step explanation:
Because of the Pythagorean theorem, you know that the square of the two legs of a right triangle will be equal to the square of the hypotenuse. Conversely, the square of one of the legs will be equal to the square of the other leg subtracted from the square of the hypotenuse. Therefore:
[tex]x^2=10^2-8^2 \\\\x^2=100-64\\\\x^2=36\\\\x=6[/tex]
Hope this helps!
Answer:
6
Step-by-step explanation:
By Pythagoras theorem
10^2 = 8^2 + x^2
100= 64 + x^2
X^2 =100-64
X^2= 36
[tex]x = \sqrt{36} \\ x = 6[/tex]
Hope this helps..
help please and thank you
What is the y intercept of the function f(x)= -2/9x + 1/3?
Answer:
1/3
Step-by-step explanation:
plug in 0 for x
0 * anything = 0 (cancels out the -2/9) and you're left with 1/3
Deon has to buy all the butter she needs to make 60 biscuits. She buys the butter in 250 g packs. (b) How many packs of butter does Deon need to buy?
Answer:
200g of sugar, 600g of flour, 400g of butter
Step-by-step explanation:
50g sugar = 15 biscuits
3 x 50g = flour --) 150g = flour
2 x 50g = butter --) 100g = butter
60/15 = 4; 4 times as much
4 x 50g = 200g of sugar
4 x 150g = 600g of flour
4 x 100g = 400g of butter
The distance around the edge of a circular pond is 88 m. The radius, in
metres. 19
Answer:
14
Step-by-step explanation:
look at the other answer as the person is taking a very long time to write it
Answer: radius = 14.01 m
Step-by-step explanation:
Circumference = 2πr
88 = 2πr
r = 88/2π = 14.01m
2 Points
Which unit of measure would be appropriate for the volume of a sphere with a
radius of 2 meters?
A. Square meters
B. Centimeters
C. Meters
D. Cubic meters
SUBMIT
Answer:
D. Cubic meters
Explanation:
Anytime you see a question asking about volume, the units will always have cubic in it.
Answer:
D
Step-by-step explanation:
For the volume of a sphere with radius of 2 meters, Since here, the unit is "meters", so the volume of this sphere would be in cubic metres.
CAN SOMEONE HELP ON MY LAST QUESTION PLZZZ
Which question are you talking about? I mean that why is there no attachment / image of your question? How do we know what is the question?So could you pls complete your question? :)
Answer:
(1, - 12 )
Step-by-step explanation:
Given the graph of f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus f(x) - 4 represents a shift down of 4 units, that is
(1, - -8 ) → (1, - 8 - 4 ) → (1, - 12 )
Help im still lazy lol
Answer:
t= -105
Step-by-step explanation:
To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-1/15t=7
t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.
-1/15t/-1/15=7/ -1/15
t=7/ -1/15
Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.
To find the reciprocal, flip the numerator (top number) and denominator (bottom number).
-1/15--flip--> -15/1=-15
Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.
t= 7* -15
t=-105
Let's check out solution. Plug -105 back in for t in the original equation.
-1/15t=7
-1/15*-105=7
7=7
Both sides are the same, so we know that t=-105.
Answer:
t=-105
Step-by-step explanation:
[tex]-\frac{1}{15} t =7[/tex]
What we need to do here is to isolate t.
Let's multiply both sides by -15.
[tex]-\frac{1}{15}t * -15 = 1t[/tex]
7*-15= -105
t=-105
I WILL MARK BRAINLIST!! HURRY HELP!! PEASE THANK YOUU
A rectangle has an area of 345 square millimeters and a base of 15 millimeters. What is the height?
Given that a rectangle has an area of 345 square millimeters and a base of 15 millimeters, find the height.
Area of a Rectangle = b x h
So, to find the height, we would reverse it by dividing the area by the base.
Work:
345/15 = 23
So, 23 would be our height.
Thus, the height of the rectangle is 23 millimeters.
Answer:
23 millimeters
Step-by-step explanation:
The area of a rectangle can be found using the following formula.
a=b*h
We know that the area is 345 square millimeters and the base is 15 millimeters, but we don't know that the height is.
a=345
b=15
Substitute these variables into the formula.
345=15*h
We want to find out what the height, or h is. In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
h is being multiplied by 15. The opposite of multiplication is division, so divide both sides by 15.
345/15=15*h/15
345/15=h
23=h
Add appropriate units. In this case, the units are millimeters.
h=23 millimeters
The height of the rectangle is 23 millimeters.
The area of a triangle garden can
be no more than 120 square
feet. The base of a triangle
is 16 feet in
lenght What
inequalitie describes the
possible heights, h, of the
triangular garden?
Answer:
0< h ≤ 15
Step-by-step explanation:
A = 1/2 * base * height = 1/2*16*h = 8h
A no more is ≤.
A ≤ 120
8h ≤ 120
h ≤ 15
0< h ≤ 15
Height should be more than 0 feet and no more than 15 feet.
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before
adding the equations together?
First Equation: 5x - 4y = 28
Second equation: 3x - 3y = 30
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 3 and the Second equation by -5.
The first equation should be multiplied by 9 and the second equation by 4
The first equation should be multiplied by 9 and the second equation by -4.
Mark this and retum
Save and Exit
Next
Submit
Answer:
To eliminate y- terms
Multiply equ(1) by 3 and equ(2) by -4
To eliminate y- terms
Multiply (1) by 3 and (2) by -5
Step-by-step explanation:
5x - 4y = 28 (1)
3x - 3y = 30 (2)
To eliminate y- terms
Multiply equ(1) by 3 and equ(2) by -4
15x-12y=84
-12x+12y= -120
Add equ (3) and (4)
3x=84-120
3x=-36
x=-36/3
= -12
x=-12
To eliminate x- terms
5x-4y=28
3x-3y=30
Multiply (1) by 3 and (2) by -5
15x-12y=84
-15x+15y=-150
Add the new equation
3y= -66
y= -22
what is the midpoint of the segment shown below (-6,-2) (-1,5)
Answer:
(-3.5,2.5)
Step-by-step explanation:
[tex]m=\left( \dfrac{-6+-1}{2},\dfrac{-2+5}{2} \right)=\left( \dfrac{-7}{2},\dfrac{3}{2}\right)=\left( -3.5,2.5 \right)[/tex]
Hope this helps!
How many square roots is the area ?
[tex] - \frac{1}{2} x > 4[/tex]
Answer:
x< -8
Step-by-step explanation:
To solve the inequality, we must get x isolated.
-1/2x>4
We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.
-1/2x / -1/2 > 4/ -1/2
When dividing by fraction, you can also multiply by the reciprocal.
To find the reciprocal, flip the numerator and the denominator.
-1/2–> -2/1
-2/1 *-1/2x > 4* -2/1
x> 4* -2/1
When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.
x < 4* -2/1
x < 4*-2
x< -8
Simplify
(2 Points)
2a xa x 3a + b x 45
Answer:
[tex]6a^3+45b[/tex]
Step-by-step explanation:
[tex]2a\times a\times 3a+b\times 45[/tex]
[tex]2a\times 1a\times 3a+b\times 45[/tex]
[tex]2\times 1\times 3 \times a \times a \times a+b\times 45[/tex]
[tex]6a^3+b \times45[/tex]
[tex]=6a^3+45b[/tex]
Answer:
6a^3 + 45b
Step-by-step explanation:
=2a × a × 3a + b × 45
=2a × 1a × 3a + b × 45
=2 × 1 × 3 × a × a × a + b × 45
=6a^3 + b × 45
= 6a^3 + 45b
In the diagram of circle O, what is the measure of ? 27° 54° 108° 120°
Answer:
Option (2).
Step-by-step explanation:
This question is incomplete; here is the complete question and find the figure attached.
In the diagram of a circle O, what is the measure of ∠ABC?
27°
54°
108°
120°
m(minor arc [tex]\widehat {AC}[/tex]) = 126°
m(major arc [tex]\widehat {AC}[/tex]) = 234°
By the intersecting tangents theorem,
If the two tangents of a circle intersect each other outside the circle, measure of angle formed between them is half the difference of the measures of the intercepted arcs.
m∠ABC = [tex]\frac{1}{2}[m(\text {major arc{AC})}-m(\text{minor arc} {AC})][/tex]
= [tex]\frac{1}{2}(234-126)[/tex]
= 54°
Therefore, Option (2) will be the answer.
Answer:
B.
Step-by-step explanation:
Using the order of operations, what should be done first when evaluating this expression?
-1/2 divided by 2(9+3)-4-3/4(8)
Answer:
[tex]-\frac{16}{17}\\-0.94117[/tex]
Step-by-step explanation:
[tex]\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\left(8\right)}}\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=\frac{-\frac{1}{2}}{\frac{2\left(9+3\right)-4-3}{4\cdot \:8}}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}=\frac{17}{32}\\\frac{2\left(9+3\right)-4-3}{4\cdot \:8}\\2\left(9+3\right)-4-3=17\\2\left(9+3\right)-4-3\\2\left(9+3\right)=24\\2\left(9+3\right)\\\mathrm{Add\:the\:numbers:}\:9+3=12\\=2\cdot \:12\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:12=24\\=24-4-3[/tex]
[tex]\mathrm{Subtract\:the\:numbers:}\:24-4-3=17\\=\frac{17}{4\cdot \:8}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:8=32\\=\frac{17}{32}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\=-\frac{\frac{1}{2}}{\frac{17}{32}}\\\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}\\=-\frac{1\cdot \:32}{2\cdot \:17}\\Refine\\=-\frac{32}{2\cdot \:17}\\\mathrm{Multiply\:the\:numbers:}\:2\cdot \:17=34\\=-\frac{32}{34}[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\=-\frac{16}{17}\\\mathrm{Decimal:\quad }\:-0.94117[/tex]
Find the largest value of x that satisfies the equation |5x − 1| = x + 3.
Answer:
1
Step-by-step explanation:
Since you are going for the largest value of x that satisfies the equation, you don't need to worry about negative numbers, and therefore don't need to worry about the absolute value.
5x-1=x+3
5x=x+4
4x=4
x=1
Hope this helps!
HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed
Answer:
B
Step-by-step explanation:
The x term is 1 in all the pairs this would form a horizontal line (x=1)
Answer: C) ((-2,7), (0,12), (1,4), (1,5)
Step-by-step explanation: An ordered pair will usually have a pattern that'll repersent a linear function. Out of all of the options only C as a constant pattern.
I hope this helps!
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) translated 11 units up
B It is the graph of f(x) translated 11 units to the left
C It is the graph of f(x) where the slope is increased by 11
D It is the graph of f(x) translated 11 units to the right
Step-by-step explanation:
I think A
I hope it will help
what is the value of x?
Answer:
60
Step-by-step explanation:
60 times 2 is 120 plus 24 is 144
the lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line?
A. 2/3
B. -2/3
C. -3/2
D. 3/2
Answer:
-2/3
Step-by-step explanation:
Perpendicular slopes have lines that multiply to -1
m* 3/2 = -1
Multiply each side by 2/3
m* 3/2 * 2/3 = -1 * 2/3
m = -2/3
The slope of the perpendicular line is -2/3
Answer:
The answer is B
I use an online graphing calculator called Desmos. You should check it out some time :)